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Finding the Fourth Proportional to 205,148.40, 307,860.06 and 72,029.10

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Solution

The fourth proportional to 205,148.40, 307,860.06 and 72,029.10 is: 108,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,148.40 : 307,860.06 = 72,029.10 : x
  2. Step 2: Convert to fraction form
    205,148.40/307,860.06 = 72,029.10/x
  3. Step 3: Cross multiply
    205,148.40x = 307,860.06 × 72,029.10
  4. Step 4: Simplify right side
    205,148.40x = 22,174,883,047.75
  5. Step 5: Solve for x
    x = 22,174,883,047.75/205,148.40
  6. Step 6: Final answer
    x = 108,091.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.